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Theory of Quadratic Equation Unit#02 Class 10th Mathematics (Science Group)

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01-Nature of Roots of Quadratic Equation | Theory of Quadratic Equation | Concept of Discriminant
12:30
02-Exercise 2.1 Q1 | Finding Discriminant | Class 10 |Theory of Quadratic Equation
4:37
03-Exercise 2.1 Q2 (i) | Finding Nature of Roots with Verification | Class 10
6:07
04-Exercise 2.1 Q2 (ii) | Finding Nature of Roots with Verification | Class 10
5:17
05-Exercise 2.1 Q2 (iii) | Finding Nature of Roots with Verification | Class 10
4:15
06-Exercise 2.1 Q2 (iv) | Finding Nature of Roots with Verification | Class 10
4:57
07-Exercise 2.1 Q3|Finding the value of K for Perfect Square| class 10| Theory of Quadratic Equation
6:34
08-Exercise 2.1 Q4(i) |Finding value of K for Equal Roots| class 10| Theory of Quadratic Equation.
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09-Exercise 2.1 Q4(ii) |Finding value of K for Equal Roots| class 10| Theory of Quadratic Equation.
3:24
10-Exercise 2.1 Q4(iii) |Finding value of K for Equal Roots| class 10| Theory of Quadratic Equation.
4:39
11-Exercise 2.1 Q5 |Show that Roots are equal for given condition |class 10| Theory of Quadratic Eq.
7:24
12-Exercise 2.1 Q6 |Finding the condition for equal Roots |class 10| Theory of Quadratic Equation
6:39
13-Exercise 2.1 Q7 |Show that Roots are equal for given conditions |class 10| Theory of Quadratic Eq
5:50
14-Exercise 2.1 Q8(i) |Show that Roots are Rational |class 10| Theory of Quadratic Equation
10:49
15-Exercise 2.1 Q8(ii) |Show that Roots are Rational |class 10| Theory of Quadratic Equation
5:13
16-Exercise 2.1Q9 |Prove that For all values of k the roots are real|class10| Theory of Quadratic Eq
3:46
17-Exercise 2.1Q10 |Show that the roots are real |class10|  Theory of Quadratic Equation
6:59
18-Find Cube Roots of unity | Class 10 | Theory of quadratic equation.
7:26
19-Prove that each of the complex cube roots of unity is the square of the other.
9:40
20-Prove that the product of three cube root of unity is one.
5:42
21-Prove that each complex cube root of unity is reciprocal of the other.
2:53
22-Prove that the sum of all cube roots of unity is zero.
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23-Example 1 page 25 |chapter 2 |Theory of quadratic Eqauation|class 10
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24-Example 2 page 25 |chapter 2 |Theory of quadratic Eqauation|class 10
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25-Exercise 2.2 Q1 |Cube roots of -1,8,-27,64 |chapter 2 |Theory of quadratic Equation|class 10
10:44
26-Exercise 2.2 Q2(i)|Evaluate by using cube roots of unity|chapter 2 |Theory of quadratic |class 10
1:25
27-Exercise 2.2 Q2(ii)|Evaluate by using cube roots of unity|chapter 2|Theory of quadratic |class 10
1:35
28-Exercise 2.2 Q2(iii)|Evaluate by using cube roots of unity|chapter 2|Theory of quadratic |class10
1:37
29-Exercise 2.2 Q2(iv)|Evaluate by using cube roots of unity|chapter 2|Theory of quadratic |class 10
3:18
30-Exercise 2.2 Q2(v)|Evaluate by using cube roots of unity|chapter 2|Theory of quadratic  |class10
2:49
31-Exercise 2.2 Q2(vi)|Evaluate by using cube roots of unity|chapter 2|Theory of quadratic |class 10
2:33
32-Exercise 2.2 Q2(vii)|Evaluate by using cube roots of unity|chapter 2|Theory of quadratic|class 10
3:04
33-Exercise 2.2 Q2(viii)|Evaluate by using cube roots of unity|chapter 2|Theory of quadratic|class10
3:33
34-Exercise 2.2 Q3|Prove that by using cube roots of unity|chapter 2|Theory of quadratic eq|class 10
3:44
35-Exercise 2.2 Q4|Prove that by using cube roots of unity|chapter 2|Theory of quadratic eq|class 10
6:07
36-Exercise 2.2 Q5|Prove that by using cube roots of unity|chapter 2|Theory of quadratic eq|class 10
5:46
37-Relation Between Roots and Co-efficients of a quadratic equation|class 10| class 11
11:02
38-Exercise 2.3 Q2(i) |Find the value of k if Sum of Roots of equation is twice the Product of Roots
4:13
39-Exercise 2.3 Q2(ii)|Find the value of k if Sum of Roots of eq. is 3/2 times the Product of Roots
4:43
40-Exercise 2.3 Q3 (i) |Find the value of  k, if sum of squares of  Roots of equation is 2|class 10
5:34
41-Exercise 2.3 Q3 (ii) |Find the value of  k, if sum of squares of  Roots of equation is 6|class 10
6:04
42-Exercise 2.3 Q4 (i) |Find the value of p, if the Roots of the equation differ by unity | class 10
4:03
43-Exercise 2.3 Q4 (ii) |Find the value of p, if the Roots of the equation differ by 6|class 10
3:54
44-Exercise 2.3 Q5 (i) |Find the value of m, if  Roots of  equation satisfy relation 3α+2β=4|class10
4:36
45-Exercise 2.3 Q5 (ii) |Find the value of m, if Roots of equation satisfy relation 3α-2β=4|class 10
4:21
46-Exercise 2.3 Q5 (iii) |Find value of m, if Roots of equation satisfy relation 7α-3β=18|class 10
4:41
47-Exercise 2.3 Q6(i)|Find value of m,if sum and product of Roots of equation is equal to λ |class10
3:28
48-Exercise 2.3 Q6(ii)|Find value of m,if sum and product of Roots of equation is equal to λ.
3:16
49-Definition and Explanation of Symmetric Functions with Examples |class 10
4:36
50-Exercise 2.4 Q1 (All parts) If α , β are  roots of equation then evaluate given expressions
9:15
51-Exercise 2.4 Q2 (All parts) If α , β are  roots of equation then evaluate given expressions
10:12
52-Exercise 2.4 Q3 (All parts) If α , β are  roots of equation then evaluate given expressions
5:43
53-Formation of a Quadratic Equation whose roots are given with examples.
6:25
54-Exercise 2.5 Q1.Write quadratic equation having roots (a)1,5 (b)4,9  (g) 1+i,1-i (h) 3+√2,3-√2
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55-Exercise2.5 Q2.If α,β are roots of equation x^2-3x+6=0.Form equation whose roots are (a)2α+1,2β+1
5:24
56-Exercise 2.5 Q2.If α,β are roots of equation x^2-3x+6=0. Form equation whose roots are (b)α^2,β^2
4:29
57-Exercise 2.5 Q2.If α,β are roots of equation x^2-3x+6=0.Form equation whose roots are (c)1/α,1/β
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58-Exercise 2.5 Q2.If α,β are roots of equation x^2-3x+6=0.Form equation whose roots are (d) α/β,β/α
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59-Exercise 2.5 Q2.If α,β are roots of Eq. x^2-3x+6=0.Form equation whose roots are  (e) α+β,1/α+1/β
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60-Exercise2.5 Q3.If α,β are roots of x^2+px+q=0.Form equation whose roots are (a)α^2,β^2 (b)α/β,β/α
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61-Exercise 2.6 Q1.Use Synthetic division to find quotient and remainder(i)(x^2+7x-1)÷(x+1)
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62-Ex 2.6 Q2.Find value of h using Synthetic division, if(i)3 is zero of the polynomial 2x^3-3hx^2+9
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63-Exerc. 2.6 Q2.Find value of h using Synthetic division,if(ii)1 is zero of polynomial x^3-2hx^2+11
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64-Exercise 2.6 Q2.Find value of h  using Synthetic division, if (iii)-1 is the zero of 2x^3+5hx-23
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65-Exercise 2.6 Q3.Use Synthetic division to find values of l and m (i)(x+3) and (x-2) are factors..
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66-Exercise 2.6 Q3.Use Synthetic division to find value of l and m (ii)(x-1) and (x+1) are factors..
4:20
67-Exercise 2.6 Q4.Solve by Using Synthetic division, if (i) 2 is the root of Equation x^3-28x+48=0
4:15
68-Exercise 2.6 Q4.Solve by Using Synthetic division, if(ii) 3 is the root of  2x^3-3x^2-11x+6=0
3:42
69-Exercise 2.6 Q4.Solve by Using Synthetic division, if(iii) -1 is the root of  4x^3-x^2-11x-6=0
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70-Exercise 2.6 Q5.Solve by Using Synthetic division, if(i)1 and 3 are the roots of  x^4-10x^2+9=0
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71-Exercise 2.6 Q5.Solve by Using Synthetic division,if(ii)3,-4 are roots of x^4+2x^3-13x^2-14x+24=0
4:06
72-Exercise 2.7 Q1. Solve the Simultaneous Equations  x+y=5  ;   x^2-2y-14=0 | CLASS 10 UNIT 2
6:18
73-Exercise 2.7 Q2. Solve the Simultaneous Equations   3x-2y=1  ;  x^2+xy-y^2=1 |Class 10 Unit 2
7:42
74-Exercise 2.7 Q3.Solve the Simultaneous Equations  x-y=7 ; 2/x-5/y=2 |Class 10 | Unit 02
7:13
75-Exercise 2.7 Q4. Solve the Simultaneous Equations     x+y=a-b    ;    a/x-b/y=2 |Class 10 Unit 02
10:33
76-Exercise 2.7 Q5.Solve the Simultaneous Equations   x^2+(y-1)^2=10  ; x^2+y^2+4x=1
8:25
77-Exercise 2.7 Q6.Solve the Simultaneous Equations (x+1)^2+(y+1)^2=5 ;  (x+2)^2+y^2=5
7:05
78-Exercise 2.7 Q7.Solve the Simultaneous Equations       x^2+2y^2=22     ;    5x^2+y^2=29
5:18
79-Exercise 2.7 Q8.Solve the Simultaneous Equation     4x^2-5y^2=6  ;   3x^2+y^2=14
4:48
80-Exercise 2.7 Q9.Solve the Simultaneous Equation     7x^2-3y^2=4  ;   2x^2+5y^2=7
5:18
81-Exercise 2.7 Q10. Solve the Simultaneous Equations x^2+2y^2=3  ;   x^2+4xy-5y^2=0
9:00
82-Exercise 2.7 Q11. Solve the Simultaneous Equations  3x^2-y^2=26  ; 3x^2-5xy-12y^2=0
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83-Exercise 2.7 Q12.Solve the Simultaneous Equations    x^2+xy=5  ;    y^2+xy=3
10:37
84-Exercise 2.7 Q13. Solve the Simultaneous Equations  x^2-2xy=7  ;   xy+3y^2=2
12:13
85-Unit 2. Example 1: Page 43     Three less than a certain number multiplied by 9 less than  ...
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86-Unit 2. Example 2: Page 44 If length is 4cm more than the breadth of a Rectangle and     Area ...
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87-Unit 2. Example 3: Page 44| The sum of the co-ordinates of a point is 6 and sum of their Sq...
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88-Exercise 2.8 Q1. |The product of two positive consecutive numbers is 182.Find the numbers.
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89-Exercise 2.8 Q2. | The sum of the squares of three positive consecutive numbers is 77.Find them.
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90-Exercise 2.8 Q3.|The sum of five times a number and the square of the number is 204.Find the num.
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91-Exercise 2.8 Q4. The product of five less than three times a certain number and One less than ...
5:42
92-Exercise 2.8 Q5. The difference of a number and its reciprocal is  15/4 .Find the numbers.
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93-Exercise 2.8 Q6|The sum of the squares of two digits of a positive integral Number is 65 and t...
7:36
94-Exercise 2.8 Q7. The sum of the co-ordinate of a point is 9 and sum of their Squares is 45. Fi...
4:51
95-Exercise 2.8 Q8.Find two integers whose sum is 9 and the difference of their squares is also 9.
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96-Exercise 2.8 Q9. Find two integers whose difference is 4 and whose Squares differ by 72.
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97-Exercise 2.8 Q10. Find the dimensions of a rectangle, whose perimeter is 80cm and its area is 375
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98-MISCELLANEOUS EXERCISE -2   Q1. Multiple Choice Question
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